Recording Multiplication

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Recording Multiplication

You will learn:
To use counters to multiply whole numbers by one-digit numbers.


Why learn this?
You can model multiplication problems such as the total distance traveled on a trip.


external image 12.jpg



 So Mr. Ruiz drives 1,075 miles in 5 weeks.



QUESTIONS



  • Solve by using the colored counters.

  1. 2 x 134 =
  2. 3 x 728 =

[Dalia]
1)
1 blue, 3 green, 4 yellow.
1 blue, 3 green, 4 yellow.
= 2 blue, 6 green, 8 yellow.
= 268
2)
7 blue, 2 green, 8 yellow.
7 blue, 2 green, 8 yellow.
7 blue, 2 green, 8 yellow.
= 21 blue, 6 green, 24 yellow.
=2,184

  • There are 463,000 people living in Douglas and 657,000 people living in Limon. There are 1,200,000 people living in Youngsville. Which has more people - Youngsville, or Douglas and Limon combined? Show your work.

[Dalia] In Douglas and Limon there are: 463,000 + 657,000 = 1,120,000 < 1,200,000 in Youngsville. Therefore, there are more people in Youngsville.

  • Paulo arrived at soccer practice at 10:00 am and stayed for 2 hours. It took him 20 minutes to get home, 10 minutes to shower, and 30 minutes to eat lunch. What time was it when he finished eating lunch? Show your work.

[Dalia] 10:00 + 02:00 = 12:00 pm. 12:00 + (00:20 + 00:10 + 00:30) = 12:00 + (00:50) = 12:50 pm !


Nasser:

1)
2 x 134 = 2 x (1 blue, 3 green, 4 yellow) = 2 blue, 6 green, 8 yellow = 268
3 x 728 = 3 x (7 blue, 2 green, 8 yellow) = 21 blue, 6 green, 24 yellow = 2184

2) 463,000 --> 463 red (Douglas) 657,000 --> 657 red (Limon) 463 red + 657 red = 1120 red --> 1,120,000 people
People in Youngsville = 1,200,000 --> 1200 red. There are more people in Youngsville than in Limon and Douglas combined --> 1120 red < 1200 red

3) 10:00 am + 2 hours (120 minutes) = 12:00 pm. 12:00 pm + 20 minutes + 10 minutes + 30 minutes = 01:00 pm is the final answer